39 citations · 204 across the 31 of their papers we have counts for
7 papers · 1 filter
Second-order delay ordinary differential equations, their symmetries and application to a traffic problem
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko +1
This article is the third in a series the aim of which is to use Lie group theory to obtain exact analytic solutions of Delay Ordinary Differential Systems (DODSs). Such a system c…
Complete Group Classification of Systems of Two Nonlinear Second-Order Ordinary Differential Equations of the Form
Giovanna Fae Oguis, Sibusiso Moyo, Sergey Meleshko
Extensive work has been done on the group classification of systems of equations in the literature. This paper identifies the gap in the literature which concerns the group classif…
On the Study of the General Group Classification of Systems of Linear Second-Order Ordinary Differential Equations
S. V. Meleshko, S. Moyo
In this paper we study the general group classification of systems of linear second-order ordinary differential equations inspired from earlier works and recent results on the grou…
Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations
S. Suksern, S. V. Meleshko
Linearization problem of ordinary differential equations by a new set of tangent transformations is considered in the paper. This set of transformations allows one to extend the se…
On the Group Classification of Systems of Two Linear Second-Order Ordinary Differential Equations with Constant Coefficients
S. V. Meleshko, S. Moyo G. F. Oguis
The completeness of the group classification of systems of two linear second-order ordinary differential equations with constant coefficients is delineated in the paper. The new ca…
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Warisa Nakpim, Sergey V. Meleshko
The linearization problem of a second-order ordinary differential equation by the generalized Sundman transformation was considered earlier by Duarte, Moreira and Santos using the…